Boundary-layer non-Newtonian flow over vertical plate in porous medium saturated with nanofluid |
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Authors: | F. M. Hady F. S. Ibrahim S. M. Abdel-Gaied M. R. Eid |
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Affiliation: | 1. Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt;2. Department of Science and Mathematics, Faculty of Education, Assiut University, The New Valley 72111, Egypt |
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Abstract: | The free convective heat transfer to the power-law non-Newtonian flow from a vertical plate in a porous medium saturated with nanofluid under laminar conditions is investigated. It is considered that the non-Newtonian nanofluid obeys the mathematical model of power-law. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. The partial differential system governing the problem is transformed into an ordinary system via a usual similarity transformation. The numerical solutions of the resulting ordinary system are obtained. These solutions depend on the power-law index n, Lewis number Le, buoyancy-ratio number N r, Brownian motion number N b, and thermophoresis number N t. For various values of n and Le, the effects of the influence parameters on the fluid behavior as well as the reduced Nusselt number are presented and discussed. |
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Keywords: | non-Newtonian free convection nanofluid porous media |
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